What is the Greatest Common Factor of 54414 and 54429?

Greatest common factor (GCF) of 54414 and 54429 is 3.

GCF(54414,54429) = 3

We will now calculate the prime factors of 54414 and 54429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54414 and 54429.

How to find the GCF of 54414 and 54429?

We will first find the prime factorization of 54414 and 54429. After we will calculate the factors of 54414 and 54429 and find the biggest common factor number .

Step-1: Prime Factorization of 54414

Prime factors of 54414 are 2, 3, 3023. Prime factorization of 54414 in exponential form is:

54414 = 2¹ × 3² × 3023¹

Step-2: Prime Factorization of 54429

Prime factors of 54429 are 3, 18143. Prime factorization of 54429 in exponential form is:

54429 = 3¹ × 18143¹

Step-3: Factors of 54414

List of positive integer factors of 54414 that divides 54414 without a remainder.

1, 2, 3, 6, 9, 18, 3023, 6046, 9069, 18138, 27207

Step-4: Factors of 54429

List of positive integer factors of 54429 that divides 54414 without a remainder.

1, 3, 18143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54414 and 54429. The biggest common factor number is the GCF number.
So the greatest common factor 54414 and 54429 is 3.

Also check out the Least Common Multiple of 54414 and 54429